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The pressure field around a bubble

Previously, I figured out the velocity field for creeping flow around a bubble, and made a nice graphic to go with. This time I solved through for the pressure field, and this is what it looks like (along the plane y=0, gauge pressure, all other constants 1)

The derivation …

tags: fluid dynamics, creeping flow, gas,

Posted by
selenized
in math
on Mon 30 June 2014

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Creeping flow around a bubble

When fluid flows around a gas bubble, circulation within the bubble dissipates energy away from the interface and the interfacial shear stress is reduced. In this problem (4B.3 Transport Phenomena) I look at what happens when that shear stress is negligible.

Flow is coming up along the positive z-axis …

tags: fluid dynamics, creeping flow, gas,

Posted by
selenized
in math
on Fri 27 June 2014